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Finding the Fourth Proportional to 6,444.75, 9,666.63 and 2,061.03

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Solution

The fourth proportional to 6,444.75, 9,666.63 and 2,061.03 is: 3,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.75 : 9,666.63 = 2,061.03 : x
  2. Step 2: Convert to fraction form
    6,444.75/9,666.63 = 2,061.03/x
  3. Step 3: Cross multiply
    6,444.75x = 9,666.63 × 2,061.03
  4. Step 4: Simplify right side
    6,444.75x = 19,923,214.43
  5. Step 5: Solve for x
    x = 19,923,214.43/6,444.75
  6. Step 6: Final answer
    x = 3,091.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.